Scalar boundary value problems on junctions of thin rods and plates

DOI10.1051/M2AN/2014007zbMath1307.35043arXiv1403.6029OpenAlexW3125982071MaRDI QIDQ2925709

Giuseppe Cardone, Renata Bunoiu, Sergueï A. Nazarov

Publication date: 17 October 2014

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.6029

zbMATH Keywords

error estimatesdimension reductionboundary layersanisotropic weighted Sobolev norms

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Plates (74K20) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Junctions (74K30)

Related Items (3)

Asymptotic behavior of eigenfrequencies of a thin elastic rod with non-uniform cross-Section ⋮ Thin elastic plates supported over small areas. II. Variational-asymptotic models ⋮ Scalar problems in junctions of rods and a plate

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